Search a number
-
+
1330103320320 = 28353113781559
BaseRepresentation
bin10011010110110000010…
…101011111111100000000
311201011020012001120102210
4103112300111133330000
5133243022422222240
62455012510142120
7165045125451555
oct23266025377400
94634205046383
101330103320320
11473103715315
12195948ab1940
13985749c6408
144853d60aa2c
15248ebb5c780
hex135b055ff00

1330103320320 has 288 divisors, whose sum is σ = 4417112125440. Its totient is φ = 340742799360.

The previous prime is 1330103320279. The next prime is 1330103320367. The reversal of 1330103320320 is 230233010331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16267701 + ... + 16349259.

It is an arithmetic number, because the mean of its divisors is an integer number (15337194880).

Almost surely, 21330103320320 is an apocalyptic number.

1330103320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330103320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208556062720).

1330103320320 is an abundant number, since it is smaller than the sum of its proper divisors (3087008805120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330103320320 is a wasteful number, since it uses less digits than its factorization.

1330103320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81751 (or 81737 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1330103320320 its reverse (230233010331), we get a palindrome (1560336330651).

The spelling of 1330103320320 in words is "one trillion, three hundred thirty billion, one hundred three million, three hundred twenty thousand, three hundred twenty".